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lys-0071 [83]
3 years ago
13

Rob had twice as much money as Sam. Then Sam gave Rob 1 quarter, 2 nickels, and 3 pennies. Rob then gave Sam 8 dimes. If they no

w have the same amount of money, how much money did Rob originally have? (Steps please!)
Mathematics
1 answer:
bezimeni [28]3 years ago
6 0

Let the initial amount that Sam had be x.

Then, since Rob had twice as much as Sam, Rob's money would be 2x.

Now, Sam gave 1 quarter, 2 nickels and 3 pennies to Rob.

Let's convert all of them into pennies.

1 quarter + 2 nickels + 3 pennies = 25 + (2 x 5) + 3

                                                      = 38 pennies

So, Sam's amount is x - 38 and Rob's amount is 2x + 38.

Now, Rob gives 8 dimes to Sam.

8 dimes = 80 pennies.

So, Sam's amount now is x - 38 + 80 = x + 42 and

Rob's amount is 2x + 38 - 80 = 2x - 42

Its given that these two amounts are same.

So,  2x - 42 = x + 42

2x - x = 42 + 42

x = 84

Rob's original amount = 2x = 2(84) = 168 pennies.

                                                         = $1 + 6 dimes + 1 nickel + 3 pennies

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eduard

Answer:

question 1: m = 3/2

question 2: m = 1/95

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

____________________________________

given

y = 3/2 x

comparing it with y = mx+c

we have m = 3/2 .

since y = 3/2 x does not have constant term so it can be taken as 0. hence c is 0

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slope for any two point (x1,y1) and (x2,y2) on coordinate plane is given by

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From the given table lets take two point as (2,190) and(4,380)

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4 0
3 years ago
Write any 4 laws of exponents.<br>​
emmainna [20.7K]

         \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

       <em>Write any 4 laws, or properties, of exponents.</em>

<em />

<em>        </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

\Large\text{Law number 1:-}

\Large\text{$a^n*a^m=a^{n+m}$}

\Large\text{It states that:-}

                        When we multiply together numbers with the same base,

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\Large\text{Law number 2:-}

\Large\text{$a^m:a^n=a^{m-n}$}

\Large\text{It states that:-}

                     When we divide numbers with the same base, we

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\Large\text{Law number 3:-}

\Large\text{$(\displaystyle\frac{x}{y}) ^n=\frac{x^n}{y^n}$}

\Large\text{It states that:-}

                 If we have a fraction to a power, we raise the numerator and

               the denominator to that power.

And then last but not least,

\Large\textit{Law number 4:-}

\Large\text{$a^{-m} =\displaystyle\frac{1}{a^m}$}

\Large\text{It states that:-}

                   If we have a number with a negative exponent, we flip it over.

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}

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Answer:

Step-by-step explanation:

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